What is the Least Common Multiple of 92046 and 92066?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 92046 and 92066 is 4237153518.
LCM(92046,92066) = 4237153518
Least Common Multiple of 92046 and 92066 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92046 and 92066, than apply into the LCM equation.
GCF(92046,92066) = 2
LCM(92046,92066) = ( 92046 × 92066) / 2
LCM(92046,92066) = 8474307036 / 2
LCM(92046,92066) = 4237153518
Least Common Multiple (LCM) of 92046 and 92066 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92046 and 92066. First we will calculate the prime factors of 92046 and 92066.
Prime Factorization of 92046
Prime factors of 92046 are 2, 3, 23, 29. Prime factorization of 92046 in exponential form is:
92046 = 21 × 31 × 232 × 291
Prime Factorization of 92066
Prime factors of 92066 are 2, 13, 3541. Prime factorization of 92066 in exponential form is:
92066 = 21 × 131 × 35411
Now multiplying the highest exponent prime factors to calculate the LCM of 92046 and 92066.
LCM(92046,92066) = 21 × 31 × 232 × 291 × 131 × 35411
LCM(92046,92066) = 4237153518
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